Home / 2,161.83-2,984.23-1,416.99

Finding the Fourth Proportional to 2,161.83, 2,984.23 and 1,416.99

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Solution

The fourth proportional to 2,161.83, 2,984.23 and 1,416.99 is: 1,956.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,161.83 : 2,984.23 = 1,416.99 : x
  2. Step 2: Convert to fraction form
    2,161.83/2,984.23 = 1,416.99/x
  3. Step 3: Cross multiply
    2,161.83x = 2,984.23 × 1,416.99
  4. Step 4: Simplify right side
    2,161.83x = 4,228,635.04
  5. Step 5: Solve for x
    x = 4,228,635.04/2,161.83
  6. Step 6: Final answer
    x = 1,956.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.